Find the roots of the equation z³ – 1 = 0.

Q: What are the roots of the auxiliary equation corresponding to the DE y(4)+3y"+6y"+5y'+3 = 0? %3D

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Q: What are the roots of the auxiliary equation corresponding to the DE 6y" + 11y"-y-6 = 0?

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Q: Solve the given equation.3x = 4 in Z5

A: We know that, from the ring theory the elements of Z5 are {0,1,2,3,4}. Now, the equation is given as…

Q: Find the rational roots of equation: 3y³+5y²+8y+4

A: We have fy=3y3+5y2+8y+4   We have to find rational roots of given equation fy=03y3+5y2+8y+4=0…

Q: Find the real root of the equation x – 5x + 2 =0 by Newton-Raphson's Method,

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Q: Determine the roots of y"" - 4y" + 3y = 0

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Q: Find all 4 roots of the equation z4+1=0.

A: Concept:

Q: Determine all the roots of R(y)=12y²+11y-5

A: R(y)=12y²+11y-5

Q: Find the general solution of the given equation.

A: Here we have to find out general solution.

Q: find the general solution of the given equation. y'' + 16y = 0

A: Given , y''+16y=0Lrt , y=Aemx≠0be the trial solution of the given differential equation .Then…

Q: Let z, and z, be roots of the equation z² + pz + q = 0, where the coefficients p and q may be…

A: Given: Let z1 and z2 be the roots of the equation z2+pz+q=0, where the coefficients p and q may be…

Q: -3X1 + 9X2 + X3 = 6

A: Given,        -3X1+9X2+X3=6       5X1-4X2+15X3=9            4X1-X2+2X3=15

Q: 4. Find the distinct roots of z for the following equation, z4 = 3i.

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Q: Use the quadratic formula to solve for x. 6x-8x-1 0 Round your answer to the nearest hundredth. If…

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: Ex) Algebraically find the roots of the quadratic: rC) =}cx - 29° - 6

A: Given equation is; f(x)=12(x-2)2-6 Put f(x)=0x2+4-4x2-6=0x2-4x+4=12x2-4x-8=0

Q: 1. Write the equation to a quintic with double roots -6 and 8, that goes through the origin as well…

A: According to question we have to find the quintic equation with Double roots -6 and 8 and that goes…

Q: Solve the following equation iz + 2i = 4

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Q: x2 + v2 - 2x - 8y- 47 = 0 %3D

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Q: Determine the roots of the equations using iterative methods with initial values of 1. 2x + 6y + 3z…

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Q: show that 1+i is a root of the cubic equation 3z^3-5z^2+27z-45=0, find the other two roots

A: 3z3-5z2+27z-45 = 0Using rational root test :±11, ±13, ±31, ±51, ±91, ±93, ±151, ±153, ±451,…

Q: You are given a quadratic equation of the form (x – p)(x – q) = 0. Show that the axis of symmetry of…

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Q: The two initial values of the roots of the equation x^3 - x - 3 = 0 are A) 1,0 B) -2, 1 c) -1,0 D)…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Solve the he 2ydx + (x² -y² )dy = 0 equation so Li 3 much

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Q: Q/ find the root of the equation by false position y = x3 – 6x² + 10x – 4 ɛ<0.001 for above…

A: Given,  The equation is  y=x3-6x2+10x-4 we have to find the root of equation using false position…

Q: (d²4)(d-2)y=0

A: To find the roots of  (d2 - 4)(d - 2)y = 0.

Q: Determine the roots of the equations using iterative methods with initial values of 1. 2х + 6у + 32…

A: Gauss-Seidel method is used to approximate the solution of a system of linear equations by…

Q: Find the roots of the following equation x6 – x – 1 = 0 Using an initial guess of xo =1.5 ?

A: We have to find the roots of the given equation.

Q: Find the 3 roots of the equation x3-1.25x+25 using BAIRSTOWS Method.

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Q: Solve the given equation. x + 3 = 2 in Z5

A: Consider the given: x+3=2 in ℤ5Base elements of ℤ5 are 0,1,2,3,4.x+3+2=2+2mod5x+5=4mod5x+0=4mod5…

Q: Show that the equation  x4 + 4x + c =0 has at most tworeal roots.

A: Given: The method of contradiction is used to prove that the above equation has at most  two roots.

Q: a) Find the general solution of the equation d'y dy dr? + 3e* dr by using the method of undetermined…

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Q: 6. Determine the four roots of the equation (z–2)*+(z+1)' = 0 and plot them on an Argand diagram.

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Q: Find a particular equation for the DE: y+4y'-2y= 2x -3x+6

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Q: The roots of the equation D(4) – 81y = 0 are

A: Here I am attaching image so that you understand each and every step.

Q: Solve the given equation. 2x = 1 in Z5

A: Z5 means group in which we have all addition and multiplication of numbers gets divisible by 5.

Q: Identify the roots for the equation 5 x 2 + 2 x = -4. -1+iv19 | 10 iv19

A: Given, 5x²+2x+4= 0 We know that, The standard quadratic equation is given by, ax²+bx+c=0. Here, a=5…

Q: Solve the given equation.2x + 3 = 2 in Z5

A: Given :            The equation is 2x + 3 = 2     To solve the given equation in Z5

Q: Solve y" - 5y' + 6, using characteristic equation.

A: Given differential equation is y'' - 5y' + 6

Q: Find the roots of: (D² - 4) (D2)y = 0

A: To find the roots of the given equation D2-4(D-2)y=0

Q: Calculate the larger of the two roots for the auxiliary equation to the second order linear…

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Q: 1. What are the roots of the equation (x + 1)(4x – 3) = 0? C) x= 1, - D) x= 1 A) x = -1,3 B) x= -1,

A: (x+1)(4x-3)=0⇒(x+1)=0 or (4x-3)=0⇒x=-1 or 4x=3⇒x=-1 or x=34⇒x=-1 ,34

Q: Calculate the larger of the two roots for the auxiliary equation to the second order linear…

A: Given

Q: Solve for z in the equation 5z+3y = 10. A z= 7y – 5 z= 10 - 3y I= 2 - 54 Dz= 2 - 8y 3.

A: To solve for x 5x+3y=10

Q: Q1/ Find the cubic root of Z = -i?

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: Rearrange this equation to isolate c. a = b

A: Here an expression for 'a' in terms of b, c, and d is given. We have to find an expression for 'c'…

Q: Given the equation y = z² – 2z + 1, determine how many roots there will be.

A: Roots of a equation are the values of x for which f(x)=0.

Q: The sum of the roots of a cubic equation x3 + ax2 + bx +c = 0 is

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Q: Find the roots of the following equation: 2x3 – 13x? – 22x + 3 = 0 by Newton-Raphson method.

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Q: . Given that z = 1 is a root, find the other two roots of 2z3 −z2 +3z−4=0

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.